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What might be an appropriate universal sel for each of these sets

1. The set of Samsung cellular phones
2. The set of girls playing badminton
3. The set of colors of the rainbow
4. The set of prime numbers between 0 and 10

1 Answer

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Final answer:

The correct answer provides the universal sets for Samsung phones (all Samsung cellular phones), girls playing badminton (all girls who play badminton), colors of the rainbow (all colors seen in a rainbow)

Step-by-step explanation:

The correct answer is that a universal set is a set that contains all objects from the context of a particular discussion or problem.

In set theory and mathematics, the universal set is often denoted by the symbol U or sometimes ξ. Knowing this, here are the appropriate universal sets for each given situation:

  • The set of Samsung cellular phones: The universal set could be all cellular phones manufactured by Samsung.
  • The set of girls playing badminton: The universal set could be all girls who play badminton, regardless of the level of competition or location.
  • The set of colors of the rainbow: The universal set would be all the colors that can be seen in a rainbow, typically red, orange, yellow, green, blue, indigo, and violet.
  • The set of prime numbers between 0 and 10: The universal set here would be the set of all prime numbers, which in this case are the numbers 2, 3, 5, and 7.

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